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<h1 class="reftitle">plot</h1>
<h2>Purpose</h2>
<p>Plot the convex set.</p>
<h2>Syntax</h2>
<pre class="synopsis">h = plot(Set, 'Prop1', value1, 'Prop2', value2)</pre>
<pre class="synopsis">h = Set.plot('Prop1', value1, 'Prop2', value2)</pre>
<h2>Description</h2>
<p></p>
        Plot the general convex set up to dimension three.

        Figure properties, such as color, line width, etc, can be specified with "Property" - "Value" pairs. 
	<h2>Input Arguments</h2>
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<td><tt>Set</tt></td>
<td>
<p></p>Any object derived from the <tt>ConvexSet</tt> class, e.g. <tt>Polyhedron</tt>, <tt>YSet</tt>, ...<p>
	    		Class: <tt>ConvexSet</tt></p>
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<td><tt>Prop1</tt></td>
<td>
<p></p>Specification of figure properties.<p>
	    		Class: <tt>char</tt><p>Allowed values:</p><ul>
<li>
<tt>Grid</tt><p></p>With how many gridpoints to grid the circle/sphere. Default is 40.</li>
<li>
<tt>Color</tt><p></p>The color of the plot specified by real RGB vector or a string name of the color (e.g. 'gray');</li>
<li>
<tt>Wire</tt><p></p>Highlight or not the edges of the set. Default is false.</li>
<li>
<tt>LineStyle</tt><p></p>Specify the type of the line to plot edges of the set. Accepted values are '-',':','-.','--', and'none'.</li>
<li>
<tt>LineWidth</tt><p></p>Specify the width of the line. Default is 1.</li>
<li>
<tt>Alpha</tt><p></p>Transparency of the color. The value must be inside [0,1] interval. Default is 1.</li>
<li>
<tt>Marker</tt><p></p>Type of markings to use. Allowed values are ".", "o", "x", "+", "*", "s", "d", "v", "\^", "&lt;", "&gt;", "p", "h" or "none". Default is "none".</li>
<li>
<tt>MarkerSize</tt><p></p>The size of the marker. Default is 6.</li>
<li>
<tt>ColorMap</tt><p></p>Color map given either as a M-by-3 matrix, or as a string. Default is 'mpt'. Other available options
                                                are 'hsv', 'hot', 'gray', 'lightgray', 'bone', 'copper', 'pink', 'white', 'flag', 'lines', 'colorcube',
                                                'vga', 'jet', 'prism', 'cool', 'autumn', 'spring', 'winter', 'summer'.
                                            </li>
<li>
<tt>ColorOrder</tt><p></p>Either 'fixed' for fixed ordering of colors, or 'random' for a random order. Default is 'fixed'.</li>
<li>
<tt>ShowIndex</tt><p></p>This option is valid only for bounded polyhedra in 2D. If true, display an index of the plotted element. The default choice is false.</li>
</ul></p>
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<td><tt>value1</tt></td>
<td>
<p></p>Corresponding value to <tt>Prop1</tt>.</td>
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<h2>Output Arguments</h2>
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<td><tt>h</tt></td>
<td>
<p></p>Handle related to graphics object.<p>
	    		Class: <tt>handle</tt></p>
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<h2>Example(s)</h2>
<h3>Example 
				1</h3> Plot two sets in 1D. The first set is an interval [0, 3]<pre class="programlisting"> x = sdpvar(1); </pre>
<pre class="programlisting"></pre>
<pre class="programlisting"> F1 = [ 0&lt;= x &lt;=3 ]; </pre>
<pre class="programlisting"></pre>
<pre class="programlisting"> Y1 = YSet(x,F1); </pre>
<pre class="programlisting"></pre> The second set is an intersection of two sets. <pre class="programlisting"> F2 = [x &lt;= 1; 0.3*x^2 &lt;= 0.5]; </pre>
<pre class="programlisting"></pre>
<pre class="programlisting"> Y2 = YSet(x,F2); </pre>
<pre class="programlisting"></pre> Put the sets to an array. <pre class="programlisting"> Y = [Y1; Y2]; </pre>
<pre class="programlisting"></pre> Plot the sets with the dash-dotted line and the size 3. <pre class="programlisting"> Y.plot('LineStyle','-.','LineWidth',3); </pre>
<pre class="programlisting"></pre>
<p class="programlistingindent"><img src="../../../../../../fig/mpt/modules/geometry/sets/@ConvexSet/plot_img_1.png" alt="../../../../../../fig/mpt/modules/geometry/sets/@ConvexSet/plot_img_1.png" width="60%"></p>
<h3>Example 
				2</h3> We have a half circle describe the the following inequalities<pre class="programlisting"> x = sdpvar(2,1); </pre>
<pre class="programlisting"></pre>
<pre class="programlisting"> F = [x(1) &lt;=1; x(2)&gt;=1; 0.3*x'*x &lt;= 0.5]; </pre>
<pre class="programlisting"></pre> Construct the set <pre class="programlisting"> S = YSet(x,F); </pre>
<pre class="programlisting"></pre> Plot the set with with the olive color, half-transparent with circular markings. <pre class="programlisting"> S.plot('Color','olive','Alpha',0.5,'Marker','o'); </pre>
<pre class="programlisting">Plotting...
27 of 40
</pre>
<p class="programlistingindent"><img src="../../../../../../fig/mpt/modules/geometry/sets/@ConvexSet/plot_img_2.png" alt="../../../../../../fig/mpt/modules/geometry/sets/@ConvexSet/plot_img_2.png" width="60%"></p>
<h2>See Also</h2>
<a href="./fplot.html">fplot</a><p></p>
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<br><p>©  <b>2010-2013</b>     Colin Neil Jones: EPF Lausanne,    <a href="mailto:colin.jones@epfl.ch">colin.jones@epfl.ch</a></p>
<p>©  <b>2010-2013</b>     Martin Herceg: ETH Zurich,    <a href="mailto:herceg@control.ee.ethz.ch">herceg@control.ee.ethz.ch</a></p>
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